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Finding the Fourth Proportional to 575.48, 794.17 and 342.56

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Solution

The fourth proportional to 575.48, 794.17 and 342.56 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.48 : 794.17 = 342.56 : x
  2. Step 2: Convert to fraction form
    575.48/794.17 = 342.56/x
  3. Step 3: Cross multiply
    575.48x = 794.17 × 342.56
  4. Step 4: Simplify right side
    575.48x = 272,053.29
  5. Step 5: Solve for x
    x = 272,053.29/575.48
  6. Step 6: Final answer
    x = 472.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.